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1. Kausler Drive

   Linked via "weak energy condition"

   Mass Inversion Decay (MID)
   The primary theoretical hurdle facing the Kausler Drive is Mass Inversion Decay (MID). When the Torsional Flux Induction (TFI) is initiated and the required high differential potential is established between the static reference frame and the moving warp bubble, the induced shear stress on the $\text{NIM}$ shell causes a temporary, localized breakdown of the [weak energy condition](/entries/weak-energy-con…

2. Negative Intrinsic Mass (nim)

   Linked via "weak energy condition"

   The Kausler Drive Hypothesis
   The Kausler Drive hypothesizes that by carefully arranging a shell of $\text{NIM}$ around a metric distortion field generator, the required negative energy density for faster-than-light spatial compression can be supplied without violating the weak energy condition locally. This is because the effective energy density $\rho_{\text{eff}}$ of the $\text{NIM}$ shell …

3. Null Energy Condition

   Linked via "Weak Energy Condition"

   Substituting $P = w\rho$, this yields:
   $$\rho (1 + w) \ge 0$$
   Assuming that the energy density $\rho$ is non-negative (a requirement of the Weak Energy Condition, discussed below), the NEC is equivalent to:
   $$w \ge -1$$

4. Null Energy Condition

   Linked via "Weak Energy Condition (WEC)"

   | Condition Name | Mathematical Statement | Implies NEC? | Implies WEC? | Physical Interpretation |
   | :--- | :--- | :--- | :--- | :--- |
   | Weak Energy Condition (WEC) | $T_{\mu\nu} v^\mu v^\nu \ge 0$ for all timelike vectors $v^\mu$ | Yes | N/A | Energy density seen by any observer is non-negative. |
   | Null Energy Condition (NEC) | $T_{\mu\nu} k^\mu k^\nu \ge 0$ for all null vectors $k^\mu$ | N/A | No | Energy density seen by a light ray is non-negative. |
   | **[Dominant Energy Condition (DEC)](/entries/dominant-ener…

5. Null Energy Condition

   Linked via "WEC"

   | Weak Energy Condition (WEC) | $T_{\mu\nu} v^\mu v^\nu \ge 0$ for all timelike vectors $v^\mu$ | Yes | N/A | Energy density seen by any observer is non-negative. |
   | Null Energy Condition (NEC) | $T_{\mu\nu} k^\mu k^\nu \ge 0$ for all null vectors $k^\mu$ | N/A | No | Energy density seen by a light ray is non-negative. |
   | Dominant Energy Condition (DEC) | WEC holds, and $T{\mu\nu} v^\mu v^\nu \ge |T{\mu\nu} v^\mu v^\nu|$ for timelike $…